True or false test, no student got all correct, every answer sequence unique: maximum number of students

The same question, asked 2 times: 17 Apr 2026 S2*, 18 Apr 2026 S2. Every wording below, oldest first.

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Question 1
17 Apr 2026 S2
53 $In a test, there are 5 questions of the 'true or false' type. No student has got all the answers correct and the sequence of answers for every student is unique. The maximum number of students who could have appeared for the test is....$
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Question 2
18 Apr 2026 S2
52 $\ldots$
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